WO2018209481A1 - 获取直流电力网功率传输系数的无损耗对称方法 - Google Patents

获取直流电力网功率传输系数的无损耗对称方法 Download PDF

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WO2018209481A1
WO2018209481A1 PCT/CN2017/084288 CN2017084288W WO2018209481A1 WO 2018209481 A1 WO2018209481 A1 WO 2018209481A1 CN 2017084288 W CN2017084288 W CN 2017084288W WO 2018209481 A1 WO2018209481 A1 WO 2018209481A1
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power
node
lossless
network
global linear
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彭建春
江辉
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Shenzhen University
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Shenzhen University
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JELECTRIC POWER NETWORKS; CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for AC mains or AC distribution networks

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  • the present invention relates to the field of power engineering, and in particular, to a lossless symmetrical method for obtaining a power transmission coefficient of a DC power network.
  • DC power grid is an emerging power transmission network. Drawing on the control method of the traditional AC power network branch road safety, the power transmission coefficient of the DC power network is an indispensable tool for the control of its branch safety. Therefore, an accurate, fast and reliable method for obtaining the power transmission coefficient of the DC power network needs to be developed.
  • the global linear acquisition method of the power transmission coefficient of the AC power grid is based on the assumption that the voltage amplitude of each node is equal to 1.0 p.u. and the voltage phase difference between the nodes of each branch is close to zero, simplifying the steady state model of the AC power grid.
  • the node voltage in the DC power network only contains amplitude (excluding phase). If the voltage of each node is assumed to be equal to 1.0 pu, the power transmitted by each branch is always zero.
  • the AC power network theory cannot be used to obtain the global power transmission coefficient of the DC power network. Linear acquisition method.
  • the steady-state model based on the linearization of the DC power network is used to obtain the power transmission coefficient of the DC power network, the local linear characteristics cannot meet the accuracy requirements of the safety regulation of the branch when the operating state of the DC power network changes widely. Therefore, there is no global linear acquisition method for the DC power network power transmission coefficient, and the existing local The linearization acquisition method is not suitable for a wide range of changes in the operating state of the DC power network.
  • Embodiments of the present invention provide a lossless symmetric method for acquiring a power transmission coefficient of a DC power network, which can realize global linearization of a power transmission coefficient of a DC power network.
  • the invention provides a lossless symmetry method for obtaining a power transmission coefficient of a DC power network, comprising:
  • the M-P inverse matrix is used to establish a lossless global linear symmetric matrix relationship of the whole network node translation voltage with respect to the injection power of the whole network node;
  • the embodiment of the present invention first establishes a lossless global linear relationship of the node injection power with respect to the node translation voltage according to the node load parameter and the node power parameter in the known DC power network; and then establishes a DC power network according to the lossless global linear relationship.
  • Steady-state lossless global linear symmetric model utilized according to a lossless global linear symmetric model
  • the MP inverse matrix establishes the lossless global linear symmetric matrix relation of the whole network node translation voltage with respect to the injection power of the whole network node; then establishes the branch transmission power according to the lossless global linear symmetric matrix relation.
  • FIG. 1 is a flowchart of an implementation of a lossless symmetric method for acquiring a power transmission coefficient of a DC power network according to an embodiment of the present invention
  • FIG. 2 is a schematic structural diagram of a general model of a DC power network according to an embodiment of the present invention.
  • FIG. 1 is a flowchart of implementing a lossless symmetric method for acquiring a power transmission coefficient of a DC power network according to an embodiment of the present invention.
  • the lossless symmetric method for obtaining the DC power network power transmission coefficient as shown in the figure may include the following steps:
  • step 101 a lossless global linear relationship of the node injection power with respect to the node translation voltage is established based on the node load parameters and the node power parameters in the known DC power grid.
  • Step 101 is specifically: establishing a lossless global linear relationship of the node injection power with respect to the node translation voltage according to the following relationship:
  • i and k are the numbers of the nodes in the DC power network, and both belong to the set of consecutive natural numbers ⁇ 1, 2,..., n ⁇ ; n is the total number of nodes in the DC power network; P Gi is connected Power supply to node i; P Di is the load power connected to node i, P Gi -P Di is the injection power of node i; g ik is the conductance of branch ik connected between node i and node k; i is the translation voltage of node i; v k is the translation voltage of node k, and both v i and v k are the target voltages after translation -1.0.
  • P Gi , P Di , n, g ik are all known DC power network parameters.
  • the above lossless global linear relationship is established based on the operating characteristics of the DC power network.
  • the operating characteristic of the DC power network is that the "node translation voltage" obtained after the voltage of each node in the DC power network is -1.0 is small, so that the product of the branch conductance and the square of the translation voltage of one end node, the branch conductance and its two end nodes The product of the translation voltage is always close to zero and can be ignored.
  • step 102 a lossless global linear symmetric model of the steady state of the DC power network is established according to the lossless global linear relationship.
  • Step 102 is specifically: establishing a steady-state lossless global linear symmetric model of the DC power network according to the following relationship:
  • P G1 is the power supply power connected to node 1;
  • P Gi is the power supply power connected to node i;
  • P Gn is the power supply power connected to node n;
  • P D1 is the load power connected to node 1;
  • P Di is connected The load power at node i;
  • P Dn is the load power connected to node n;
  • j is the number of nodes in the DC power network, and belongs to the set of consecutive natural numbers ⁇ 1, 2, ..., n ⁇ ;
  • g ij is connected to the node The conductance of the branch ij between i and node j;
  • g ik is the conductance of the branch ik connected between node i and node k;
  • n is the total number of nodes in the DC power network;
  • (G ij ) is The original node conductance matrix of the DC power network, the dimension of the original node conductance matrix is n ⁇ n;
  • G ij is the element
  • P G1 , P D1 , P Gi , P Di , P Gn , P Dn , (G ij ) are known DC power network parameters.
  • the no-node translation voltage is assigned a reference voltage center of zero value, and the translation voltage and the injection power of each node of the whole network are treated unbiasedly, that is, symmetrically treated, which is positive It is said that the above model is a lossless global linear symmetric model.
  • step 103 according to the lossless global linear symmetric model, the M-P inverse matrix is used to establish a lossless global linear symmetric matrix relationship of the whole network node translation voltage with respect to the total network node injection power.
  • Step 103 is specifically: establishing a lossless global linear symmetric matrix relationship of the whole network node translation voltage with respect to the injection power of the whole network node according to the following relationship:
  • (a ij ) and (G ij ) + are the MP inverse matrix of the original node conductance matrix (G ij ) of the DC power network;
  • P G1 is the power supply power connected to node 1;
  • P Gi is connected to node i Power supply power;
  • P Gn is the power supply power connected to node n;
  • P D1 is the load power connected to node 1;
  • P Di is the load power connected to node i;
  • P Dn is the load power connected to node n;
  • v 1 is The translation voltage of node 1;
  • v i is the translation voltage of node i;
  • v n is the translation voltage of node n, and
  • v 1 , v i and v n are the standard value voltages after translation -1.0.
  • the translation voltage of each node in the whole network is calculated according to the large variation of the node injection power, that is, the DC power network has a large operating state.
  • the range is accurate when it changes, and the linear features make calculations fast and reliable.
  • step 104 a lossless global linear symmetric relationship of the branch transmission power with respect to the injection power of the entire network node is established according to the lossless global linear symmetric matrix relationship.
  • Step 104 is specifically:
  • the lossless global linear symmetric relationship of the branch transmission power with respect to the injection power of the whole network node is established according to the following relationship:
  • step 105 according to the lossless global linear symmetric relationship and the known power transfer
  • the definition of the transmission coefficient obtains the power transmission coefficient of the DC power network.
  • Step 105 is specifically as follows:
  • g ik is the conductance of the branch ik connected between node i and node k;
  • D ik,j is the power transfer coefficient from node j to branch ik;
  • a ij is the original node conductance matrix of the DC power network ( An element of the i-th row and the j-th column of the MP inverse matrix of G ij );
  • a kj is an element of the k-th row and the j-th column of the MP inverse matrix of the original node conductance matrix (G ij ) of the direct current power network.
  • the power transmission coefficient is defined as the linear combination of the branch transmission power expressed as the node injection power, and the combination coefficient is the power transmission coefficient.
  • the above relationship is based on the M-P inverse matrix of the original node conductance matrix of the DC power network, and the inverse matrix must exist, so it can be reliably obtained.
  • the global linear characteristic of the relationship between the above-mentioned branch transmission power and the injection power of the entire network node makes the calculation of the power transmission coefficient accurate and fast when the operating state of the DC power network changes widely. Therefore, this lossless symmetrical method for obtaining the power transmission coefficient of the DC power network is accurate, fast, and reliable.

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  • Power Engineering (AREA)
  • Supply And Distribution Of Alternating Current (AREA)

Abstract

一种获取直流电力网功率传输系数的无损耗对称方法,首先根据直流电力网中的节点负荷参数和节点电源参数建立节点注入功率关于节点平移电压的无损耗全局线性关系式(101);然后根据无损耗全局线性关系式建立直流电力网稳态的无损耗全局线性对称模型(102);根据无损耗全局线性对称模型,利用M-P逆矩阵建立全网节点平移电压关于全网节点注入功率的无损耗全局线性对称矩阵关系式(103);再建立支路传输功率关于全网节点注入功率的无损耗全局线性对称关系式(104);最后根据无损耗全局线性对称关系式和功率传输系数的定义获取直流电力网的功率传输系数(105)。该获取直流电力网功率传输系数的无损耗对称方法实现了精度高和计算快速可靠,且在电力网运行状态大范围变化时提高了调控的准确性和实时性。

Description

获取直流电力网功率传输系数的无损耗对称方法 技术领域
本发明涉及电力工程领域,尤其涉及一种获取直流电力网功率传输系数的无损耗对称方法。
背景技术
直流电力网是一种新兴的电能传输网络。借鉴传统交流电力网支路安全性的调控方法,直流电力网功率传输系数是其支路安全性调控的必备工具。因此,获取直流电力网功率传输系数的准确、快速、可靠方法亟待开发。
交流电力网功率传输系数的全局线性获取方法,是假定各节点电压幅值等于1.0p.u.和各支路两端节点的电压相位差接近零,简化交流电力网稳态模型的基础上得到的。直流电力网中节点电压只含幅值(不含相位),若假定各节点电压等于1.0p.u.,则各支路传输的功率恒为零,借鉴交流电力网理论无法得到直流电力网功率传输系数的全局线性获取方法。若采用基于直流电力网运行基点线性化的稳态模型获取直流电力网功率传输系数,则其局部线性特征又无法满足直流电力网运行状态大范围变化时支路安全性调控的精度要求。因此,对直流电力网功率传输系数,目前尚无全局线性的获取方法,现有的局部 线性化的获取方法又不适应直流电力网运行状态的大范围变化。
发明内容
本发明实施例提供一种获取直流电力网功率传输系数的无损耗对称方法,能够实现直流电力网功率传输系数的全局线性化获取。
本发明提供了一种获取直流电力网功率传输系数的无损耗对称方法,包括:
根据已知的直流电力网中的节点负荷参数和节点电源参数建立节点注入功率关于节点平移电压的无损耗全局线性关系式;
根据所述无损耗全局线性关系式建立直流电力网稳态的无损耗全局线性对称模型;
根据所述无损耗全局线性对称模型,利用M-P逆矩阵建立全网节点平移电压关于全网节点注入功率的无损耗全局线性对称矩阵关系式;
根据所述无损耗全局线性对称矩阵关系式建立支路传输功率关于全网节点注入功率的无损耗全局线性对称关系式;
根据所述无损耗全局线性对称关系式和已知的功率传输系数的定义获取所述直流电力网的功率传输系数。
本发明实施例通过首先根据已知的直流电力网中的节点负荷参数和节点电源参数建立节点注入功率关于节点平移电压的无损耗全局线性关系式;然后根据无损耗全局线性关系式建立直流电力网稳态的无损耗全局线性对称模型;根据无损耗全局线性对称模型,利用 M-P逆矩阵建立全网节点平移电压关于全网节点注入功率的无损耗全局线性对称矩阵关系式;再根据无损耗全局线性对称矩阵关系式建立支路传输功率关于全网节点注入功率的无损耗全局线性对称关系式;最后根据无损耗全局线性对称关系式和已知的功率传输系数的定义获取直流电力网的功率传输系数;由于采用直流电力网的稳态模型,忽略了损耗功率,其误差率很接近电力网功率损耗率,因此精度高;又由于其全局线性特征,使它不仅对任意结构直流电力网功率传输系数的计算快速可靠,而且适应电力网运行状态大范围变化时调控的准确性和实时性要求。从而解决了对直流电力网功率传输系数当前尚无全局线性的获取方法,而局部线性化的获取方法又不适应直流电力网运行状态大范围变化的问题。
附图说明
为了更清楚地说明本发明实施例技术方案,下面将对实施例描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。
图1是本发明实施例提供的一种获取直流电力网功率传输系数的无损耗对称方法的实现流程图;
图2是本发明实施例提供的直流电力网通用模型的结构示意图。
具体实施方式
以下描述中,为了说明而不是为了限定,提出了诸如特定系统结构、技术之类的具体细节,以便透彻理解本发明实施例。然而,本领域的技术人员应当清楚,在没有这些具体细节的其它实施例中也可以实现本发明。在其它情况中,省略对众所周知的系统、装置、电路以及方法的详细说明,以免不必要的细节妨碍本发明的描述。
为了说明本发明所述的技术方案,下面通过具体实施例来进行说明。
参见图1,图1是本发明实施例提供的一种获取直流电力网功率传输系数的无损耗对称方法的实现流程图。如图所示的获取直流电力网功率传输系数的无损耗对称方法可包括以下步骤:
在步骤101中,根据已知的直流电力网中的节点负荷参数和节点电源参数建立节点注入功率关于节点平移电压的无损耗全局线性关系式。
步骤101具体为:按照如下关系式建立节点注入功率关于节点平移电压的无损耗全局线性关系式:
Figure PCTCN2017084288-appb-000001
其中,i和k均为直流电力网中的节点的编号,且都属于连续自然数的集合{1,2,…,n};n为直流电力网中的节点的总个数;PGi为接于节点i的电源功率;PDi为接于节点i的负荷功率,PGi-PDi为节点i的注入功率;gik是连接在节点i和节点k之间的支路ik的电导;vi为节点i的平移电压;vk为节点k的平移电压,且vi和vk都是平移-1.0后的标 幺值电压。
其中,PGi、PDi、n、gik都是已知的直流电力网参数。
上述无损耗全局线性关系式是根据直流电力网运行特性建立的。直流电力网运行特性即直流电力网中各节点电压平移-1.0后得到的“节点平移电压”很小,以致支路电导与其一个端节点平移电压的平方的乘积、支路电导与其两个端节点平移电压的乘积总是接近零,都可以忽略不计。
上述无损耗全局线性关系式中的所有变量都是全局变量、并非增量,而且该关系式两边不含需要用二次函数才能表达的电力网损耗功率,这正是称上述关系式为节点注入功率关于节点平移电压的无损耗全局线性关系式的缘故。
在步骤102中,根据无损耗全局线性关系式建立直流电力网稳态的无损耗全局线性对称模型。
步骤102具体为:按照如下关系式建立直流电力网稳态的无损耗全局线性对称模型:
Figure PCTCN2017084288-appb-000002
其中,PG1为接于节点1的电源功率;PGi为接于节点i的电源功率;PGn是接于节点n的电源功率;PD1为接于节点1的负荷功率;PDi为接于节点i的负荷功率;PDn是接于节点n的负荷功率;j是直流电力网中节点的编号,且属于连续自然数的集合{1,2,…,n};gij是连接在节点 i和节点j之间的支路ij的电导;gik是连接在节点i和节点k之间的支路ik的电导;n为直流电力网中的节点的总个数;(Gij)是直流电力网的原始节点电导矩阵,原始节点电导矩阵的维数是n×n;Gij是原始节点电导矩阵(Gij)中第i行第j列的元素;v1为节点1的平移电压;vi为节点i的平移电压;vn为节点n的平移电压,且v1、vi和vn都是平移-1.0后的标幺值电压。
其中,PG1、PD1、PGi、PDi、PGn、PDn、(Gij)都是已知的直流电力网参数。
上述无损耗全局线性对称模型中,无节点平移电压被指定为零值的参考电压中心,全网各节点的平移电压和注入功率都被无偏向性地等同对待,也就是被对称对待,这正是称上述模型为无损耗全局线性对称模型的缘故。
在步骤103中,根据无损耗全局线性对称模型,利用M-P逆矩阵建立全网节点平移电压关于全网节点注入功率的无损耗全局线性对称矩阵关系式。
步骤103具体为:按照如下关系式建立全网节点平移电压关于全网节点注入功率的无损耗全局线性对称矩阵关系式:
Figure PCTCN2017084288-appb-000003
其中,(aij)和(Gij)+均是直流电力网的原始节点电导矩阵(Gij)的M-P逆矩阵;PG1为接于节点1的电源功率;PGi为接于节点i的电源功 率;PGn是接于节点n的电源功率;PD1为接于节点1的负荷功率;PDi为接于节点i的负荷功率;PDn是接于节点n的负荷功率;v1为节点1的平移电压;vi为节点i的平移电压;vn为节点n的平移电压,且v1、vi和vn都是平移-1.0后的标幺值电压。
由于上述无损耗全局线性对称矩阵关系式是全局变量(而非增量)关系式,按它计算得到的全网各节点平移电压在节点注入功率大范围变化时,也就是直流电力网运行状态大范围变化时是准确的,且线性特征还使计算快速可靠。
在步骤104中,根据无损耗全局线性对称矩阵关系式建立支路传输功率关于全网节点注入功率的无损耗全局线性对称关系式。
步骤104具体为:
按照如下关系式建立支路传输功率关于全网节点注入功率的无损耗全局线性对称关系式:
Figure PCTCN2017084288-appb-000004
其中,gik是连接在节点i和节点k之间的支路ik的电导;Pik是支路ik传输的功率;n为直流电力网中的节点的总个数;aij是直流电力网的原始节点电导矩阵(Gij)的M-P逆矩阵中第i行第j列的元素;akj是直流电力网的原始节点电导矩阵(Gij)的M-P逆矩阵中第k行第j列的元素;PGj是接于节点j的电源功率;PDj是接于节点j的负荷功率,PGj-PDj为节点j的注入功率。
在步骤105中,根据无损耗全局线性对称关系式和已知的功率传 输系数的定义获取直流电力网的功率传输系数。
步骤105具体为:
按照如下关系式计算直流电力网的功率传输系数:
Dik,j=(aij-akj)gik
其中,gik是连接在节点i和节点k之间的支路ik的电导;Dik,j是从节点j到支路ik的功率传输系数;aij是直流电力网的原始节点电导矩阵(Gij)的M-P逆矩阵中第i行第j列的元素;akj是直流电力网的原始节点电导矩阵(Gij)的M-P逆矩阵中第k行第j列的元素。
功率传输系数的定义为将支路传输功率表达成节点注入功率的线性组合时,组合系数就是功率传输系数。
对直流电力网中支路与节点的全部组合,按照上述关系式计算得到的所有结果就是直流电力网的功率传输系数,从而实现直流电力网功率传输系数的获取。
上述关系式以直流电力网的原始节点电导矩阵的M-P逆矩阵为基础,该逆矩阵一定存在,因此能可靠求得。另外,上述支路传输功率关于全网节点注入功率的关系式的全局线性特性,使功率传输系数的计算在直流电力网运行状态大范围变化时准确、快速。因此,这种获取直流电力网功率传输系数的无损耗对称方法准确、快速、可靠。
应理解,上述实施例中各步骤的序号的大小并不意味着执行顺序的先后,各过程的执行顺序应按其功能和内在逻辑确定,而不应对本发明实施例的实施过程构成任何限定。
本领域普通技术人员可以意识到,结合本文中所公开的实施例描 述的示例的单元及算法步骤,能够以电子硬件、或者计算机软件和电子硬件的结合来实现。这些功能究竟以硬件还是软件方式来执行,取决于技术方案的特定应用和设计约束条件。专业技术人员可以对每个特定的应用使用不同方法来实现所描述的功能,但是这种实现不应认为超出本发明的范围。

Claims (6)

  1. 一种获取直流电力网功率传输系数的无损耗对称方法,其特征在于,所述获取直流电力网功率传输系数的无损耗对称方法包括:
    根据已知的直流电力网中的节点负荷参数和节点电源参数建立节点注入功率关于节点平移电压的无损耗全局线性关系式;
    根据所述无损耗全局线性关系式建立直流电力网稳态的无损耗全局线性对称模型;
    根据所述无损耗全局线性对称模型,利用M-P逆矩阵建立全网节点平移电压关于全网节点注入功率的无损耗全局线性对称矩阵关系式;
    根据所述无损耗全局线性对称矩阵关系式建立支路传输功率关于全网节点注入功率的无损耗全局线性对称关系式;
    根据所述无损耗全局线性对称关系式和已知的功率传输系数的定义获取所述直流电力网的功率传输系数。
  2. 根据权利要求1所述的获取直流电力网功率传输系数的无损耗对称方法,其特征在于,所述根据已知的直流电力网中的节点负荷参数和节点电源参数建立节点注入功率关于节点平移电压的无损耗全局线性关系式具体为:
    按照如下关系式建立节点注入功率关于节点平移电压的无损耗全局线性关系式:
    Figure PCTCN2017084288-appb-100001
    其中,i和k均为直流电力网中的节点的编号,且都属于连续自然数的集合{1,2,…,n};n为所述直流电力网中的节点的总个数;PGi为接于节点i的电源功率;PDi为接于所述节点i的负荷功率,PGi-PDi为所述节点i的注入功率;gik是连接在所述节点i和节点k之间的支路ik的电导;vi为所述节点i的平移电压;vk为所述节点k的平移电压,且所述vi和所述vk都是平移-1.0后的标幺值电压。
  3. 根据权利要求1所述的获取直流电力网功率传输系数的无损耗对称方法,其特征在于,所述根据所述无损耗全局线性关系式建立直流电力网稳态的无损耗全局线性对称模型具体为:
    按照如下关系式建立直流电力网稳态的无损耗全局线性对称模型:
    Figure PCTCN2017084288-appb-100002
    其中,PG1为接于节点1的电源功率;PGi为接于节点i的电源功率;PGn是接于节点n的电源功率;PD1为接于所述节点1的负荷功率;PDi为接于所述节点i的负荷功率;PDn是接于所述节点n的负荷功率;j是所述直流电力网中节点的编号,且属于连续自然数的集合{1,2,…,n};gij是连接在所述节点i和所述节点j之间的支路ij的电导;gik是连接在所述节点i和节点k之间的支路ik的电导;n为所述直流电力网中的节 点的总个数;(Gij)是直流电力网的原始节点电导矩阵,所述原始节点电导矩阵的维数是n×n;Gij是所述原始节点电导矩阵(Gij)中第i行第j列的元素;v1为所述节点1的平移电压;vi为所述节点i的平移电压;vn为所述节点n的平移电压,且所述v1、所述vi和所述vn都是平移-1.0后的标幺值电压。
  4. 根据权利要求1所述的获取直流电力网功率传输系数的无损耗对称方法,其特征在于,所述根据所述无损耗全局线性对称模型,利用M-P逆矩阵建立全网节点平移电压关于全网节点注入功率的无损耗全局线性对称矩阵关系式具体为:
    按照如下关系式建立全网节点平移电压关于全网节点注入功率的无损耗全局线性对称矩阵关系式:
    Figure PCTCN2017084288-appb-100003
    其中,(aij)和(Gij)+均是所述直流电力网的原始节点电导矩阵(Gij)的M-P逆矩阵;PG1为接于节点1的电源功率;PGi为接于节点i的电源功率;PGn是接于节点n的电源功率;PD1为接于所述节点1的负荷功率;PDi为接于所述节点i的负荷功率;PDn是接于所述节点n的负荷功率;v1为所述节点1的平移电压;vi为所述节点i的平移电压;vn为所述节点n的平移电压,且所述v1、所述vi和所述vn都是平移-1.0后的标幺值电压。
  5. 根据权利要求1所述的获取直流电力网功率传输系数的无损 耗对称方法,其特征在于,所述根据所述无损耗全局线性对称矩阵关系式建立支路传输功率关于全网节点注入功率的无损耗全局线性对称关系式具体为:
    按照如下关系式建立支路传输功率关于全网节点注入功率的无损耗全局线性对称关系式:
    Figure PCTCN2017084288-appb-100004
    其中,gik是连接在节点i和节点k之间的支路ik的电导;Pik是所述支路ik传输的功率;n为所述直流电力网中的节点的总个数;aij是所述直流电力网的原始节点电导矩阵(Gij)的M-P逆矩阵中第i行第j列的元素;akj是所述直流电力网的原始节点电导矩阵(Gij)的M-P逆矩阵中第k行第j列的元素;PGj是接于节点j的电源功率;PDj是接于所述节点j的负荷功率,PGj-PDj为所述节点j的注入功率。
  6. 根据权利要求1所述的获取直流电力网功率传输系数的无损耗对称方法,其特征在于,所述根据所述无损耗全局线性对称关系式和已知的功率传输系数的定义获取所述直流电力网的功率传输系数具体为:
    按照如下关系式计算所述直流电力网的功率传输系数:
    Dik,j=(aij-akj)gik
    其中,gik是连接在节点i和节点k之间的支路ik的电导;Dik,j是从所述节点j到所述支路ik的功率传输系数;aij是所述直流电力网的原始节点电导矩阵(Gij)的M-P逆矩阵中第i行第j列的元素;akj是所述 直流电力网的原始节点电导矩阵(Gij)的M-P逆矩阵中第k行第j列的元素。
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